Question

Simplify the following expression. 11 35 = 3 A. 12 B. 1 12 C. 1 81 D 81

Answer 1

Given data:

The given expression is 3^(11/5)÷3^(-9/5).

The given expression can be written as,

`\begin{gathered} \frac{3^{(11)/(5)}}{3^{-(9)/(5)}}=3^{(11)/(5)}*3^{(9)/(5)} \\ =3^{((11+9))/(5)} \\ =3^4 \\ =81 \end{gathered}`

Thus, the value of the given expression is 81, so option (D) is correct.